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Finding the Fourth Proportional to 2,036.76, 3,055.68 and 1,169.16

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Solution

The fourth proportional to 2,036.76, 3,055.68 and 1,169.16 is: 1,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.76 : 3,055.68 = 1,169.16 : x
  2. Step 2: Convert to fraction form
    2,036.76/3,055.68 = 1,169.16/x
  3. Step 3: Cross multiply
    2,036.76x = 3,055.68 × 1,169.16
  4. Step 4: Simplify right side
    2,036.76x = 3,572,578.83
  5. Step 5: Solve for x
    x = 3,572,578.83/2,036.76
  6. Step 6: Final answer
    x = 1,754.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.